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Finding the Third Proportional to 491.63 and 771.19

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Solution

The third proportional to 491.63 and 771.19 is: 1,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.63 : 771.19 = 771.19 : x
  2. Step 2: Convert to fraction form
    491.63/771.19 = 771.19/x
  3. Step 3: Cross multiply
    491.63x = 771.19 × 771.19
  4. Step 4: Simplify right side
    491.63x = 594,730.16
  5. Step 5: Solve for x
    x = 594,730.16/491.63
  6. Step 6: Final answer
    x = 1,209.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.